How to deal with mathematical statistics and probability problems in junior high school
Therefore, data processing becomes more important. In teaching, we should pay attention to the relationship between what we have learned and daily life, nature, society, science and technology, and let students understand the important role of statistics and probability in decision-making. Attention should be paid to let students participate in the whole process of data processing and make reasonable judgments according to the statistical results; Pay attention to let students understand the meaning of probability in specific situations; The connection between statistics and probability should be strengthened; To avoid turning the learning of this part into the practice of numerical operation, it is not required to strictly express relevant terms. Because there are a lot of activities in statistics and probability, students need to learn the contents of statistics and probability and master the methods of data processing by participating in the activities in person. These activities can effectively lead to a fundamental change in the status of teachers and students, and promote the improvement of teachers' teaching methods and the change of students' learning methods. Teachers have changed from imparting knowledge to organizers, guides and collaborators of activities, and students have changed from passively accepting knowledge to designers, hosts and participants of activity learning. Traditional teaching methods can no longer meet the needs of teaching, and students' learning methods have changed from passive acceptance to active learning. When dealing with the same chance probability problem, we should infer and predict the investigated problems through the analysis of data, and provide basis and suggestions for decision-making and action. Statistics is a complete process including data collection, collation, description and analysis (including probability). According to this characteristic of statistics, the statistical content of junior high school should reflect this complete process and design the statistical content of the whole junior high school with the process as the clue. In dealing with the specific content, we should also highlight the basic process of statistics, so that students can experience the statistical process of collecting data, sorting out data, describing data, analyzing data to draw conclusions, and making reasonable predictions and judgments by using the conclusions. Through data collection activities, learn the methods of data collection and feel the uncertainty and diversity of data collection results; By sorting out and describing the activities of data, learn the expression method of data and understand the role of statistical charts in statistical work; Through the activities of analyzing data and judging and predicting according to statistical results, we learn the methods of analyzing data and feel the rationality and feasibility of analyzing data with statistics. By engaging in the whole process of statistics, students can understand the application of statistics in social life and scientific fields, feel a lot of randomness and regularity in nature and society, and establish the concept of statistics. Statistics is a complete process including data collection, collation, description and analysis, and each step in this process contains many methods. For example, data can be collected through sampling surveys or comprehensive surveys; When describing data, you can use bar charts, fan charts, line charts and other statistical charts to describe data. Statistics and probability, looking for rules in randomness, mainly relying on dialectical thinking and inductive methods in learning are more direct and effective in cultivating students' practical ability and cooperative spirit. Statistics and probability are closely related to real life, and students can learn data processing methods through practical activities. In the process of activities, students are more likely to feel the connection between mathematics and real life, and experience the power of mathematics to solve practical problems, which plays a great role in arousing students' interest in learning mathematics and vocational learning, and cultivating students' habit of investigation and research, seeking truth from facts, cooperative communication ability and comprehensive practical ability. Therefore, increasing statistics and probability in junior high school can make the content structure of junior high school mathematics more reasonable in cultivating students' ability. It is beneficial to the integration of information technology, to increase the weight of statistics and probability, and to the universal application of modern information technology such as calculator in mathematics teaching.